Question

what is the best approximation of the area of a circle with a diameter of 17 meters?
use 3.14 to approximate pi.
53.4 m²
106.8 m²
226.9 m²
907.5 m²

Explanation:

Step1: Find radius from diameter

$r = \frac{d}{2} = \frac{17}{2} = 8.5$ meters

Step2: Apply circle area formula

$A = \pi r^2 = 3.14 \times (8.5)^2$

Step3: Calculate squared radius

$(8.5)^2 = 72.25$

Step4: Compute final area

$A = 3.14 \times 72.25 = 226.865$

Step5: Approximate the value

$226.865 \approx 226.9$ m²

Answer:

C. 226.9 m²